Incompressible Quantum Hall Fluid
High Energy Physics - Theory
2007-05-23 v1
Abstract
After review the quantum Hall effect on the fuzzy two-sphere and Zhang and Hu's 4-sphere , the incompressible quantum Hall fluid on , and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on are also given out. The ADHM construction on is discussed. We also point out that on torus, the incompressible quantum Hall fluid is related to the integrable Gaudin model and the solution can be given out by the Yang Bethe ansatz.
Cite
@article{arxiv.hep-th/0210173,
title = {Incompressible Quantum Hall Fluid},
author = {Bo-Yu Hou and Dan-Tao Peng},
journal= {arXiv preprint arXiv:hep-th/0210173},
year = {2007}
}
Comments
13 pages, no figures, plain latex. Talk given by Bo-Yu Hou at the International conference of the String theory, Beijing, August 17-19, 2002